347052413313 has 12 divisors (see below), whose sum is σ = 518584066260. Its totient is φ = 223390058976.

The previous prime is 347052413311. The next prime is 347052413333. The reversal of 347052413313 is 313314250743.

347052413313 is a `hidden beast` number, since 3 + 470 + 52 + 4 + 133 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91934484849 + 255117928464 = 303207^2 + 505092^2 .

It is not a de Polignac number, because 347052413313 - 2¹ = 347052413311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (347052413311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664851106 + ... + 664851627.

It is an arithmetic number, because the mean of its divisors is an integer number (43215338855).

Almost surely, 2^347052413313 is an apocalyptic number.

It is an amenable number.

347052413313 is a deficient number, since it is larger than the sum of its proper divisors (171531652947).

347052413313 is a wasteful number, since it uses less digits than its factorization.

347052413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329702768 (or 1329702765 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 347052413313 in words is "three hundred forty-seven billion, fifty-two million, four hundred thirteen thousand, three hundred thirteen".